1st Task: Understanding Data

  1. Abstract -> What you did in the project (3-4 sentences)

Introduction

  1. Introduction

Exploratory Analysis

  1. Exploratory Analysis

Methodology

  1. Methodology:

Data Integration

Predictive Modeling

  1. Result (prediction performance)

  2. Conclusion, Discussion

  • Findings, variable information, drawbacks/disadvantages, next steps
  1. References
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session=list()
for(i in 1:18){
  session[[i]]=readRDS(paste('./Data/session',i,'.rds',sep=''))
  #print(session[[i]]$mouse_name)
  #print(session[[i]]$date_exp)
  
}

Understanding the DataSet

Information of each session

# Get the variables recorded within this session
print(ls(session[[1]])) # or names(session[[1]]))
## [1] "brain_area"     "contrast_left"  "contrast_right" "date_exp"      
## [5] "feedback_type"  "mouse_name"     "spks"           "time"
#Determine the different variables and details within each session

uniqueBrainareasVector <- c()

for (i in 1:18) {
  
  message("Session ", i)
  
  session_i <- session[[i]]
  
  print(session[[i]]$mouse_name)
  print(session[[i]]$date_exp)
  
  # Get the affected brain areas within this session
  print("Affected brain areas:")
  print(unique(session_i$brain_area))
  
  uniqueBrainareasVector <- append(uniqueBrainareasVector, unique(session_i$brain_area))
  
  # Get the number of trials within the session
  print("Number of trials:")
  print(length(session_i$feedback_type))
  
}
## Session 1
## [1] "Cori"
## [1] "2016-12-14"
## [1] "Affected brain areas:"
## [1] "ACA"  "MOs"  "LS"   "root" "VISp" "CA3"  "SUB"  "DG"  
## [1] "Number of trials:"
## [1] 114
## Session 2
## [1] "Cori"
## [1] "2016-12-17"
## [1] "Affected brain areas:"
## [1] "CA1"   "VISl"  "root"  "VISpm" "POST" 
## [1] "Number of trials:"
## [1] 251
## Session 3
## [1] "Cori"
## [1] "2016-12-18"
## [1] "Affected brain areas:"
##  [1] "DG"    "VISam" "MG"    "CA1"   "SPF"   "root"  "LP"    "MRN"   "POST" 
## [10] "NB"    "VISp" 
## [1] "Number of trials:"
## [1] 228
## Session 4
## [1] "Forssmann"
## [1] "2017-11-01"
## [1] "Affected brain areas:"
##  [1] "LGd"  "DG"   "TH"   "SUB"  "VPL"  "VISp" "CA1"  "VISa" "LSr"  "ACA" 
## [11] "MOs" 
## [1] "Number of trials:"
## [1] 249
## Session 5
## [1] "Forssmann"
## [1] "2017-11-02"
## [1] "Affected brain areas:"
##  [1] "VISa" "root" "CA1"  "SUB"  "DG"   "OLF"  "ORB"  "ACA"  "PL"   "MOs" 
## [1] "Number of trials:"
## [1] 254
## Session 6
## [1] "Forssmann"
## [1] "2017-11-04"
## [1] "Affected brain areas:"
## [1] "AUD"  "root" "SSp"  "CA1"  "TH"  
## [1] "Number of trials:"
## [1] 290
## Session 7
## [1] "Forssmann"
## [1] "2017-11-05"
## [1] "Affected brain areas:"
## [1] "VPL"  "root" "CA3"  "LD"   "CP"   "EPd"  "SSp"  "PIR" 
## [1] "Number of trials:"
## [1] 252
## Session 8
## [1] "Hench"
## [1] "2017-06-15"
## [1] "Affected brain areas:"
##  [1] "ILA"  "TT"   "MOs"  "PL"   "LSr"  "root" "LD"   "PO"   "CA3"  "VISa"
## [11] "CA1"  "LP"   "DG"   "VISp" "SUB" 
## [1] "Number of trials:"
## [1] 250
## Session 9
## [1] "Hench"
## [1] "2017-06-16"
## [1] "Affected brain areas:"
##  [1] "TT"    "ORBm"  "PL"    "LSr"   "root"  "CA3"   "VISl"  "CA1"   "TH"   
## [10] "VISam" "VPL"   "LD"   
## [1] "Number of trials:"
## [1] 372
## Session 10
## [1] "Hench"
## [1] "2017-06-17"
## [1] "Affected brain areas:"
##  [1] "MB"    "VISp"  "SCm"   "SCsg"  "POST"  "DG"    "MRN"   "CA1"   "VISl" 
## [10] "POL"   "root"  "GPe"   "VISrl"
## [1] "Number of trials:"
## [1] 447
## Session 11
## [1] "Hench"
## [1] "2017-06-18"
## [1] "Affected brain areas:"
## [1] "MOp"  "LSc"  "root" "PT"   "CP"   "LSr" 
## [1] "Number of trials:"
## [1] 342
## Session 12
## [1] "Lederberg"
## [1] "2017-12-05"
## [1] "Affected brain areas:"
##  [1] "VISp"  "DG"    "SUB"   "LGd"   "PL"    "root"  "MOs"   "ACA"   "CA1"  
## [10] "VISam" "MD"    "LH"   
## [1] "Number of trials:"
## [1] 340
## Session 13
## [1] "Lederberg"
## [1] "2017-12-06"
## [1] "Affected brain areas:"
##  [1] "VISam" "ZI"    "DG"    "CA1"   "LGd"   "MB"    "SCs"   "RN"    "MRN"  
## [10] "SCm"   "ACA"   "PL"    "MS"    "root"  "MOs"  
## [1] "Number of trials:"
## [1] 300
## Session 14
## [1] "Lederberg"
## [1] "2017-12-07"
## [1] "Affected brain areas:"
##  [1] "ORB"  "MOs"  "root" "MRN"  "SCm"  "SCs"  "VISp" "RSP"  "CA1"  "PAG" 
## [1] "Number of trials:"
## [1] 268
## Session 15
## [1] "Lederberg"
## [1] "2017-12-08"
## [1] "Affected brain areas:"
## [1] "BLA"  "GPe"  "root" "VPM"  "LGd"  "ZI"   "MB"   "CA3" 
## [1] "Number of trials:"
## [1] 404
## Session 16
## [1] "Lederberg"
## [1] "2017-12-09"
## [1] "Affected brain areas:"
## [1] "SSs" "SSp" "MB"  "TH"  "LGd" "CA3"
## [1] "Number of trials:"
## [1] 280
## Session 17
## [1] "Lederberg"
## [1] "2017-12-10"
## [1] "Affected brain areas:"
## [1] "root" "VPL"  "VPM"  "RT"   "MEA"  "LD"  
## [1] "Number of trials:"
## [1] 224
## Session 18
## [1] "Lederberg"
## [1] "2017-12-11"
## [1] "Affected brain areas:"
##  [1] "CP"   "ACB"  "OT"   "SI"   "SNr"  "LGd"  "ZI"   "CA3"  "root" "TH"  
## [1] "Number of trials:"
## [1] 216
# Get the unique brainareas through all sessions
uniqueBrainareasVector <- unique(uniqueBrainareasVector)
uniqueBrainareasVectorLength = length(uniqueBrainareasVector)
message("There are ", uniqueBrainareasVectorLength, " unique brain areas throughout all sessions:")
## There are 62 unique brain areas throughout all sessions:
print(uniqueBrainareasVector)
##  [1] "ACA"   "MOs"   "LS"    "root"  "VISp"  "CA3"   "SUB"   "DG"    "CA1"  
## [10] "VISl"  "VISpm" "POST"  "VISam" "MG"    "SPF"   "LP"    "MRN"   "NB"   
## [19] "LGd"   "TH"    "VPL"   "VISa"  "LSr"   "OLF"   "ORB"   "PL"    "AUD"  
## [28] "SSp"   "LD"    "CP"    "EPd"   "PIR"   "ILA"   "TT"    "PO"    "ORBm" 
## [37] "MB"    "SCm"   "SCsg"  "POL"   "GPe"   "VISrl" "MOp"   "LSc"   "PT"   
## [46] "MD"    "LH"    "ZI"    "SCs"   "RN"    "MS"    "RSP"   "PAG"   "BLA"  
## [55] "VPM"   "SSs"   "RT"    "MEA"   "ACB"   "OT"    "SI"    "SNr"

Parse Into Dataframe

# Dataframe for the average spks per trial for each session

# Function to calculate the average spks per brain area for the specific trial of a session
firing_rate_brainarea <- function(trialNum, currSession) {
  
  spkTrial = currSession$spks[[trialNum]]
  currBrainArea = currSession$brain_area
  spkCount = apply(spkTrial, 1, sum)
  spkAvg = tapply(spkCount, currBrainArea, mean)
  return(spkAvg)
  
}


# Function to find average spks per brain area for all trials in a session
trial_firing_rate_brainarea <- function(sessionNum) {
  
  trialLen = length(session[[sessionNum]]$feedback_type)
  brainareaLen = length(unique(session[[sessionNum]]$brain_area))
  
  trialBrainareaSummary = matrix(nrow = trialLen, ncol = brainareaLen + 2)
  
  for(q in 1:trialLen) {
    
    trialBrainareaSummary[q,] = c(firing_rate_brainarea(q, currSession = session[[sessionNum]]), sessionNum, q)
    
  }
  
  colnames(trialBrainareaSummary) = c(names(firing_rate_brainarea(q,currSession = session[[sessionNum]])), 'session_number', 'trial_number')
  
  trialBrainareaSummary <- as_tibble(trialBrainareaSummary)
  
  
  # Plot the spikes per area in each session against trials
  colorPalette = brewer.pal(n=brainareaLen, name = 'Paired')

  plot(0~1, col='white',xlim=c(0,trialLen),ylim=c(0.5,2.2), xlab="Trials",ylab="Average Spike Counts", main=paste("Spikes per Area in Session", sessionNum))
  
  for(i in 1:brainareaLen){
    lines(y=trialBrainareaSummary[[i]],x=trialBrainareaSummary$trial_number,col=colorPalette[i],lty=2,lwd=1)
    lines(smooth.spline(trialBrainareaSummary$trial_number, trialBrainareaSummary[[i]]),col=colorPalette[i],lwd=3)
  }
  
  legend("topright", 
         legend = colnames(trialBrainareaSummary)[1:brainareaLen], 
         col = colorPalette, 
         lty = 1, 
         cex = 0.8
  )
    
    
    # Plot the correlation matrix for the brain areas, see if there are relations between brain areas
    correlationMatrixPlot <- suppressWarnings(chart.Correlation(trialBrainareaSummary[, 3:brainareaLen], histogram = TRUE, pch = 7, alpha = 0.3))
    correlationMatrixPlot
    
  
  # Return the dataframe of brain areas for one session
  return(trialBrainareaSummary)
  
}

# Use above function to apply to all sessions, bind them together to make one dataframe of all session brainarea spk averages. 

brainarea_firing_rateDF <- data.frame()

for (p in 1:18) {
  
  brainarea_firing_rateDF = bind_rows(brainarea_firing_rateDF, trial_firing_rate_brainarea(p))

}

## Warning in brewer.pal(n = brainareaLen, name = "Paired"): n too large, allowed maximum for palette Paired is 12
## Returning the palette you asked for with that many colors

## Warning in brewer.pal(n = brainareaLen, name = "Paired"): n too large, allowed maximum for palette Paired is 12
## Returning the palette you asked for with that many colors

## Warning in brewer.pal(n = brainareaLen, name = "Paired"): n too large, allowed maximum for palette Paired is 12
## Returning the palette you asked for with that many colors

head(brainarea_firing_rateDF)
##         ACA      CA3       DG        LS       MOs      root      SUB     VISp
## 1 1.2660550 1.529412 2.323529 1.9352518 0.9380531 0.5000000 2.080000 1.685393
## 2 0.5871560 1.705882 1.558824 1.3669065 0.7787611 0.6666667 1.946667 1.651685
## 3 1.1926606 1.985294 3.411765 1.7266187 0.9203540 1.4444444 2.640000 2.275281
## 4 0.5137615 2.191176 2.205882 1.0575540 0.7079646 1.0555556 2.800000 1.561798
## 5 0.7706422 1.808824 2.058824 1.3021583 0.7876106 0.7777778 2.613333 1.623596
## 6 0.4587156 1.852941 1.058824 0.9064748 0.7345133 0.6111111 1.906667 1.280899
##   session_number trial_number CA1 POST VISl VISpm LP MG MRN NB SPF VISam LGd
## 1              1            1  NA   NA   NA    NA NA NA  NA NA  NA    NA  NA
## 2              1            2  NA   NA   NA    NA NA NA  NA NA  NA    NA  NA
## 3              1            3  NA   NA   NA    NA NA NA  NA NA  NA    NA  NA
## 4              1            4  NA   NA   NA    NA NA NA  NA NA  NA    NA  NA
## 5              1            5  NA   NA   NA    NA NA NA  NA NA  NA    NA  NA
## 6              1            6  NA   NA   NA    NA NA NA  NA NA  NA    NA  NA
##   LSr TH VISa VPL OLF ORB PL AUD SSp CP EPd LD PIR ILA PO TT ORBm GPe MB POL
## 1  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA  NA NA NA   NA  NA NA  NA
## 2  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA  NA NA NA   NA  NA NA  NA
## 3  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA  NA NA NA   NA  NA NA  NA
## 4  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA  NA NA NA   NA  NA NA  NA
## 5  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA  NA NA NA   NA  NA NA  NA
## 6  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA  NA NA NA   NA  NA NA  NA
##   SCm SCsg VISrl LSc MOp PT LH MD MS RN SCs ZI PAG RSP BLA VPM SSs MEA RT ACB
## 1  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA  NA  NA  NA  NA  NA NA  NA
## 2  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA  NA  NA  NA  NA  NA NA  NA
## 3  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA  NA  NA  NA  NA  NA NA  NA
## 4  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA  NA  NA  NA  NA  NA NA  NA
## 5  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA  NA  NA  NA  NA  NA NA  NA
## 6  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA  NA  NA  NA  NA  NA NA  NA
##   OT SI SNr
## 1 NA NA  NA
## 2 NA NA  NA
## 3 NA NA  NA
## 4 NA NA  NA
## 5 NA NA  NA
## 6 NA NA  NA
# In the correlation matrices:
#The distribution of each variable is shown on the diagonal.
#On the bottom of the diagonal : the bivariate scatter plots with a fitted line are displayed
#On the top of the diagonal : the value of the correlation plus the significance level as stars
#Each significance level is associated to a symbol : p-values(0, 0.001, 0.01, 0.05, 0.1, 1) <=> symbols(“***”, “**”, “*”, “.”, " “)
# Dataframe with general statistics across sessions

sessionDF <- data.frame()

for (i in 1:18) {

  #Create a custom dataframe here with 4 columns for 4 variables
  trialDF <- data.frame(matrix(ncol = 5, nrow = 0))

  for (j in 1:length(session[[i]]$spks)) { 
    
    # Calculate the total number of neurons active
    neuronCountTable = table(unlist(session[[i]]$spks[[j]]))
    neuronCountValues = as.numeric(neuronCountTable)
    numActiveNeurons = length(session[[i]]$spks[[j]]) - neuronCountValues[1] #neuronCountValues[1] is the # of 0's
    
    # Calculate the total number of spks
    numSpks = 0
    for(k in 1:length(neuronCountTable)) {
    
      numSpks = numSpks + ((k-1) * neuronCountValues[k])
      
    }
    
    # Calculate the proportion of active neurons
    activeNeuronProp = numActiveNeurons / length(session[[i]]$spks[[i]])
    
    # Calculate the firing rate (total number of spks != 0 divided by total)
    firing_rate = numSpks / (numSpks + neuronCountValues[1])
    
    # Calculate the absolute difference between left and right contrast
    contrastDifference = abs(session[[i]]$contrast_left[j] - session[[i]]$contrast_right[j])
    
    # Append to the variables to the trial data frame
    trialDF[nrow(trialDF) + 1,] = c(contrastDifference, numActiveNeurons, numSpks, activeNeuronProp, firing_rate)
    
  }
  

  # Append data together using cbind
  tempSession = cbind(rep(i,length(session[[i]]$contrast_left)),
                       seq(1, length(session[[i]]$spks)),
                       session[[i]]$mouse_name, 
                       session[[i]]$contrast_left,
                       session[[i]]$contrast_right,
                       length(session[[i]]$brain_area),
                       length(unique(session[[i]]$brain_area)),
                       length(session[[i]]$spks),
                       trialDF,
                       session[[i]]$feedback_type
                       )
  
  # Append each session using rbind
  if (i == 1){
    sessionDF <- tempSession
  }
  else {
    sessionDF = rbind(sessionDF, tempSession)
  }
  
  
}


colnames(sessionDF) = c("session_number", "trial_number", "mouse_name", "contrast_left", "contrast_right", "total_number_of_neurons", "number_of_unique_brain_area", "number_of_trials", "contrast_difference", "number_of_active_neurons", "total_number_of_spks", "proportion_of_active_neurons", "firing_rate", "feedback_type")
sessionDF = as.data.frame(sessionDF)
sessionDF$session_number = as.factor(sessionDF$session_number)
#sessionDF$trial_number = as.factor(sessionDF$trial_number)
#sessionDF$contrast_left = as.factor(sessionDF$contrast_left)
#sessionDF$contrast_right = as.factor(sessionDF$contrast_right)
#sessionDF$feedback_type = as.factor(sessionDF$feedback_type)
head(sessionDF)
##   session_number trial_number mouse_name contrast_left contrast_right
## 1              1            1       Cori           0.0            0.5
## 2              1            2       Cori           0.0            0.0
## 3              1            3       Cori           0.5            1.0
## 4              1            4       Cori           0.0            0.0
## 5              1            5       Cori           0.0            0.0
## 6              1            6       Cori           0.0            0.0
##   total_number_of_neurons number_of_unique_brain_area number_of_trials
## 1                     734                           8              114
## 2                     734                           8              114
## 3                     734                           8              114
## 4                     734                           8              114
## 5                     734                           8              114
## 6                     734                           8              114
##   contrast_difference number_of_active_neurons total_number_of_spks
## 1                 0.5                     1099                 1161
## 2                 0.0                      924                  963
## 3                 0.5                     1281                 1354
## 4                 0.0                      952                 1014
## 5                 0.0                      966                 1046
## 6                 0.0                      747                  803
##   proportion_of_active_neurons firing_rate feedback_type
## 1                   0.03743188  0.03946027             1
## 2                   0.03147139  0.03275622             1
## 3                   0.04363079  0.04600279            -1
## 4                   0.03242507  0.03446401            -1
## 5                   0.03290191  0.03552989            -1
## 6                   0.02544278  0.02729807             1

Plots

# Box plots of firing rate (or numberofactiveneurons, total num of spikes, or proportion) on feedbacktype
# Mention how spks and active neurons are different, since there can be multiple spks per neuron


# Box Plots


# Firing Rate on Feedback Type
firingRate_by_feedback_boxPlot <- ggplot(sessionDF, aes(x = as.factor(feedback_type), y = firing_rate)) + geom_boxplot(outlier.color="red", outlier.shape=8, outlier.size=2, alpha = 0.2) + xlab("Feedback Type") + ylab("Firing Rate") + ggtitle("Box Plot of Firing Rate on Feedback Type") + theme(legend.position="none")

# Number of Active Neurons on Feedback Type
numActiveNeurons_by_feedback_boxPlot <- ggplot(sessionDF, aes(x = as.factor(feedback_type), y = number_of_active_neurons)) + geom_boxplot(outlier.color="red", outlier.shape=8, outlier.size=2, alpha = 0.2) + xlab("Feedback Type") + ylab("Number of Active Neurons") + ggtitle("Box Plot of Number of Active Neurons on Feedback Type") + theme(legend.position="none")

# Total Number of Spikes on Feedback Type
totalNumSpikes_by_feedback_boxPlot <- ggplot(sessionDF, aes(x = as.factor(feedback_type), y = total_number_of_spks)) + geom_boxplot(outlier.color="red", outlier.shape=8, outlier.size=2, alpha = 0.2) + xlab("Feedback Type") + ylab("Total Number of Spikes") + ggtitle("Box Plot of Total Number of Spikes on Feedback Type") + theme(legend.position="none")

# Proportion of Active Neurons on Feedback Type
proportionActiveNeurons_by_feedback_boxPlot <- ggplot(sessionDF, aes(x = as.factor(feedback_type), y = proportion_of_active_neurons)) + geom_boxplot(outlier.color="red", outlier.shape=8, outlier.size=2, alpha = 0.2) + xlab("Feedback Type") + ylab("Proportion of Active Neurons") + ggtitle("Box Plot of Proportion of Active Neurons on Feedback Type") + theme(legend.position="none")


grid.arrange(firingRate_by_feedback_boxPlot, proportionActiveNeurons_by_feedback_boxPlot, numActiveNeurons_by_feedback_boxPlot, totalNumSpikes_by_feedback_boxPlot, nrow = 2, ncol = 2)

# Correlation Matrices for each Session
for (i in 1:18) {
  
  corrplot.mixed(round(cor(sessionDF[sessionDF$session_number == i, c('contrast_left', 'contrast_right', 'contrast_difference', 'number_of_active_neurons', 'total_number_of_spks', 'proportion_of_active_neurons', 'firing_rate', 'feedback_type')]), 2), title = paste("Correlation Matrix of Session", i), mar=c(1,1,1,1))
  
}

# Correlation Matrices for Each Mouse
mouseNameVector <- c('Cori', 'Forssmann', 'Hench', 'Lederberg')
for (i in 1:length(mouseNameVector)) {
  
  corrplot.mixed(round(cor(sessionDF[sessionDF$mouse_name == mouseNameVector[i], c('contrast_left', 'contrast_right', 'number_of_active_neurons', 'total_number_of_spks', 'proportion_of_active_neurons', 'firing_rate', 'feedback_type')]), 2), title = paste("Correlation Matrix of Mouse", mouseNameVector[i]), mar=c(1,1,1,1))
  
}

# Plots for variables against trials (for individual session analysis)

for (i in 1:18) {
 
  plot1 <- ggplot(sessionDF[sessionDF$session_number == i,], aes(x = trial_number, y = number_of_active_neurons)) + geom_point() + geom_smooth(formula = y ~ x, method="lm") + ggtitle("Number of Active Neurons Against Trials") + labs(y = "Number of Active Neurons", x = "Trials")
  
  plot2 <- ggplot(sessionDF[sessionDF$session_number == i,], aes(x = trial_number, y = total_number_of_spks)) + geom_point() + geom_smooth(formula = y ~ x, method="lm") + ggtitle("Total Number of Spikes Against Trials") + labs(y = "Total Number of Spikes", x = "Trials")
  
  plot3 <- ggplot(sessionDF[sessionDF$session_number == i,], aes(x = trial_number, y = proportion_of_active_neurons)) + geom_point() + geom_smooth(formula = y ~ x, method="lm") + ggtitle("Proportion of Active Neurons Against Trials") + labs(y = "Proportion of Active Neurons", x = "Trials")
  
  plot4 <- ggplot(sessionDF[sessionDF$session_number == i,], aes(x = trial_number, y = firing_rate)) + geom_point() + geom_smooth(formula = y ~ x, method="lm") + ggtitle("Firing Rate Against Trials") + labs(y = "Firing Rate", x = "Trials")
  
  grid.arrange(plot1, plot2, plot3, plot4, nrow = 2, ncol = 2, top = textGrob(paste("Session", i, "Scatterplots")))
   
}

# Plots for variables against trials (for session analysis)

ggplot(sessionDF, aes(x = trial_number, y = number_of_active_neurons, colour = session_number)) + geom_point() + geom_smooth(method = "loess", formula = y ~ x) + ggtitle("Scatterplot of Number of Active Neurons Against Trials") + labs(y = "Number of Active Neurons", x = "Trials")

ggplot(sessionDF, aes(x = trial_number, y = total_number_of_spks, colour = session_number)) + geom_point() + geom_smooth(method = "loess", formula = y ~ x) + ggtitle("Scatterplot of Total Number of Spikes Against Trials") + labs(y = "Total Number of Spikes", x = "Trials")

ggplot(sessionDF, aes(x = trial_number, y = proportion_of_active_neurons, colour = session_number)) + geom_point() + geom_smooth(method = "loess", formula = y ~ x)  + ggtitle("Scatterplot of Proportion of Active Neurons Against Trials") + labs(y = "Proportion of Active Neurons", x = "Trials")

ggplot(sessionDF, aes(x = trial_number, y = firing_rate, colour = session_number)) + geom_point() + geom_smooth(method = "loess", formula = y ~ x)  + ggtitle("Scatterplot of Firing Rate Against Trials") + labs(y = "Firing Rate", x = "Trials")

# Combine both dataframes to one large one

completeDF <- cbind(sessionDF, subset(brainarea_firing_rateDF, select = -c(session_number, trial_number) ))
head(completeDF)
##   session_number trial_number mouse_name contrast_left contrast_right
## 1              1            1       Cori           0.0            0.5
## 2              1            2       Cori           0.0            0.0
## 3              1            3       Cori           0.5            1.0
## 4              1            4       Cori           0.0            0.0
## 5              1            5       Cori           0.0            0.0
## 6              1            6       Cori           0.0            0.0
##   total_number_of_neurons number_of_unique_brain_area number_of_trials
## 1                     734                           8              114
## 2                     734                           8              114
## 3                     734                           8              114
## 4                     734                           8              114
## 5                     734                           8              114
## 6                     734                           8              114
##   contrast_difference number_of_active_neurons total_number_of_spks
## 1                 0.5                     1099                 1161
## 2                 0.0                      924                  963
## 3                 0.5                     1281                 1354
## 4                 0.0                      952                 1014
## 5                 0.0                      966                 1046
## 6                 0.0                      747                  803
##   proportion_of_active_neurons firing_rate feedback_type       ACA      CA3
## 1                   0.03743188  0.03946027             1 1.2660550 1.529412
## 2                   0.03147139  0.03275622             1 0.5871560 1.705882
## 3                   0.04363079  0.04600279            -1 1.1926606 1.985294
## 4                   0.03242507  0.03446401            -1 0.5137615 2.191176
## 5                   0.03290191  0.03552989            -1 0.7706422 1.808824
## 6                   0.02544278  0.02729807             1 0.4587156 1.852941
##         DG        LS       MOs      root      SUB     VISp CA1 POST VISl VISpm
## 1 2.323529 1.9352518 0.9380531 0.5000000 2.080000 1.685393  NA   NA   NA    NA
## 2 1.558824 1.3669065 0.7787611 0.6666667 1.946667 1.651685  NA   NA   NA    NA
## 3 3.411765 1.7266187 0.9203540 1.4444444 2.640000 2.275281  NA   NA   NA    NA
## 4 2.205882 1.0575540 0.7079646 1.0555556 2.800000 1.561798  NA   NA   NA    NA
## 5 2.058824 1.3021583 0.7876106 0.7777778 2.613333 1.623596  NA   NA   NA    NA
## 6 1.058824 0.9064748 0.7345133 0.6111111 1.906667 1.280899  NA   NA   NA    NA
##   LP MG MRN NB SPF VISam LGd LSr TH VISa VPL OLF ORB PL AUD SSp CP EPd LD PIR
## 1 NA NA  NA NA  NA    NA  NA  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA
## 2 NA NA  NA NA  NA    NA  NA  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA
## 3 NA NA  NA NA  NA    NA  NA  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA
## 4 NA NA  NA NA  NA    NA  NA  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA
## 5 NA NA  NA NA  NA    NA  NA  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA
## 6 NA NA  NA NA  NA    NA  NA  NA NA   NA  NA  NA  NA NA  NA  NA NA  NA NA  NA
##   ILA PO TT ORBm GPe MB POL SCm SCsg VISrl LSc MOp PT LH MD MS RN SCs ZI PAG
## 1  NA NA NA   NA  NA NA  NA  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA
## 2  NA NA NA   NA  NA NA  NA  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA
## 3  NA NA NA   NA  NA NA  NA  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA
## 4  NA NA NA   NA  NA NA  NA  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA
## 5  NA NA NA   NA  NA NA  NA  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA
## 6  NA NA NA   NA  NA NA  NA  NA   NA    NA  NA  NA NA NA NA NA NA  NA NA  NA
##   RSP BLA VPM SSs MEA RT ACB OT SI SNr
## 1  NA  NA  NA  NA  NA NA  NA NA NA  NA
## 2  NA  NA  NA  NA  NA NA  NA NA NA  NA
## 3  NA  NA  NA  NA  NA NA  NA NA NA  NA
## 4  NA  NA  NA  NA  NA NA  NA NA NA  NA
## 5  NA  NA  NA  NA  NA NA  NA NA NA  NA
## 6  NA  NA  NA  NA  NA NA  NA NA NA  NA
# Scatterplot for Mice Brain areas on feedback type per mouse

for (i in 1:18) {
  
  tempBrainAreaDF <- completeDF[completeDF$session_number == i, colSums(is.na(completeDF[completeDF$session_number == i,])) == 0]
  tempBrainAreaDF <- melt(tempBrainAreaDF, id.vars = "feedback_type", measure.vars = colnames(tempBrainAreaDF)[14:length(colnames(tempBrainAreaDF))])
  
  
  tempPlot <- ggplot(tempBrainAreaDF) + geom_boxplot(aes(x = as.factor(feedback_type), y = value, color = variable), outlier.color="red", outlier.shape=8, outlier.size=2, alpha = 0.2) + xlab("Feedback Type") + ylab("Firing Rate") + ggtitle(paste("Session", i, "Box Plot of Brain Area Firing Rate on Feedback Type")) + guides(color = guide_legend(title = "Brain Areas"))
  
  print(tempPlot)
  
}

# Scatterplot of mice brainarea firing rate by trial per mouse

tempBrainAreaPerMouse <- completeDF[completeDF$mouse_name == mouseNameVector[4], ]
tempBrainAreaPerMouse <- tempBrainAreaPerMouse[,colSums(is.na(tempBrainAreaPerMouse))<nrow(tempBrainAreaPerMouse)]
tempBrainAreaPerMouse <- tempBrainAreaPerMouse[, 14:length(colnames(tempBrainAreaPerMouse))]
tempBrainAreaPerMouse[is.na(tempBrainAreaPerMouse)] <- 0

ggplot(melt(tempBrainAreaPerMouse), aes(x = variable, y = value)) + geom_boxplot(outlier.color="red", outlier.shape=8, outlier.size=2, alpha = 0.2) + xlab("Brain Areas") + ylab("Firing Rate") + ggtitle(paste("Mouse", mouseNameVector[4], "Box Plots of Brain Area Firing Rates"))
## No id variables; using all as measure variables

# Create general plot so that we can use clustering to find the specific sessions that we can combine into one dataframe
# Do this for different variables (eg. proportion of active neurons, etc)
# This new dataframe will hold the values that provide information for a better predictie model

# For part 2, combine specific sessions that give us information
# For example, if session 2 and 19 shows both similar sharp slopes, combine these two dataframes


# Can do kmeans on multiple dimensions aka multiple variables, do 2-7 clusters

clusterDF <- sessionDF[, 4:14]
clusterDF <- clusterDF[, !names(clusterDF) %in% c("number_of_trials")]
clusterDF <- cbind(seq(1, nrow(clusterDF), by=1), clusterDF)
colnames(clusterDF)[1] = "id"

# Clustering data for 3 clusters
clusterDF.k3 <- clusterDF %>% kmeans(3)
clusterIndicatorVector <- clusterDF.k3$cluster

# Append the cluster indicator to the dataframes for further analysis
completeDF <- cbind(clusterIndicatorVector, completeDF)
clusterDF <- cbind(clusterIndicatorVector, clusterDF)

colnames(completeDF)[1] <- "cluster_id"
colnames(clusterDF)[1] <- "cluster_id"
# Plots demonstrating clusters

clusterDF %>% mutate(cluster = clusterDF.k3$cluster) %>%
  ggplot(aes(x = number_of_active_neurons, y = firing_rate, color = as.factor(cluster))) + 
  geom_point()

clusterDF %>% mutate(cluster = clusterDF.k3$cluster) %>%
  ggplot(aes(x = number_of_unique_brain_area, y = total_number_of_spks, color = as.factor(cluster))) + 
  geom_point()

clusterDF %>% mutate(cluster = clusterDF.k3$cluster) %>%
  ggplot(aes(x = total_number_of_spks, y = firing_rate, color = as.factor(cluster))) + 
  geom_point()

# Which contrast has most effect on firing rate
clusterDF %>% mutate(cluster = clusterDF.k3$cluster) %>%
  ggplot(aes(x = contrast_left, y = firing_rate, color = as.factor(cluster))) + 
  geom_point()

clusterDF %>% mutate(cluster = clusterDF.k3$cluster) %>%
  ggplot(aes(x = contrast_right, y = firing_rate, color = as.factor(cluster))) + 
  geom_point()

# Separate the complete dataframe into 3 separate dataframes based on cluster_id

cluster1DF <- completeDF[completeDF$cluster_id == 1,]
cluster2DF <- completeDF[completeDF$cluster_id == 2,]
cluster3DF <- completeDF[completeDF$cluster_id == 3,]

# Correlation matrices for new dataframe clusters

ggcorrplot(round(cor(cluster1DF[, 5:15]), 1), hc.order = TRUE,
    type = "lower", lab =TRUE, p.mat = cor_pmat(cluster1DF[, 5:15]))

ggcorrplot(round(cor(cluster2DF[, 5:15]), 1), hc.order = TRUE,
    type = "lower", lab =TRUE, p.mat = cor_pmat(cluster2DF[, 5:15]))

ggcorrplot(round(cor(cluster3DF[, 5:15]), 1), hc.order = TRUE,
    type = "lower", lab =TRUE, p.mat = cor_pmat(cluster3DF[, 5:15]))

# TODO: 
# for part 2, figure out which variables to include in the model for part 3. 
# use DT::datatable() to show all dataframe variables, do this for original dataframe and dataframe that we chose for predictive model (this one will have less variables and rows)

# I will use variables: firing_rate, number_of_active_neurons, total_number_of_neurons, number_of_unique_brain_area, contrast_difference. (proportion of active neurons is too similiar to firing rate, and total_number_of_spks is too similar to number of active neurons. )

Extra

dat <- session[[1]]

#session[[1]]$brain_area

unique(dat$brain_area)
## [1] "ACA"  "MOs"  "LS"   "root" "VISp" "CA3"  "SUB"  "DG"
i_trial = 12;
i_session = 1;

dim(session[[i_session]]$spks[[i_trial]])
## [1] 734  40
length(session[[i_session]]$feedback_type)
## [1] 114
apply(session[[i_session]]$spks[[i_trial]], 2, sum)
##  [1] 24 30 27 22 24 30 34 36 40 35 41 27 37 27 36 53 38 49 36 45 45 40 39 27 36
## [26] 44 44 46 48 53 32 38 29 23 30 27 19 37 18 32
names(session[[2]])
## [1] "contrast_left"  "contrast_right" "feedback_type"  "mouse_name"    
## [5] "brain_area"     "date_exp"       "spks"           "time"
#Use different spks trials to make predictive models (logistic regression will work, show some linear or svm)
#session[[i_session]]$spks[[i_trial]]
#to predict:
#session[[i_session]]$feedback_type[i_trial]

# LOOK AT COURSE PROJECT DESCRIPTION .RMD FOR VARIABLE EXPLORATION

#Ask if we are using the trials of spks in combination with other recorded variables (eg. brain_area, contrast_left, contrast_right) to predict the feedback_type. Yes

#Predict the feedback_type per trial, not session

# Create df including all sessions, each session df will have rows as trials, and the columns will be variables of each trial (contrast_left, contrast_right, firing_rate, feedback_type). Use bind to stack each session df.
session[[5]]$spks[[11]]
##         [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
##    [1,]    1    0    1    0    0    0    0    0    0     0     0     0     0
##    [2,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##    [3,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##    [4,]    0    1    0    0    0    0    0    0    0     0     0     0     0
##    [5,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##    [6,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##    [7,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##    [8,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##    [9,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [10,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [11,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [12,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [13,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [14,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [15,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [16,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [17,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [18,]    0    1    0    0    0    0    0    0    0     0     0     0     0
##   [19,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [20,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [21,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [22,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [23,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [24,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [25,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [26,]    0    0    0    0    0    0    2    0    0     0     0     0     0
##   [27,]    0    0    0    0    0    0    0    0    0     0     1     1     0
##   [28,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [29,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [30,]    0    0    0    0    0    0    0    0    0     0     0     0     0
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##   [37,]    0    0    0    0    0    0    1    0    0     0     1     0     0
##   [38,]    1    0    0    0    0    0    0    0    0     0     0     0     0
##   [39,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [40,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [41,]    0    0    0    0    0    0    1    0    0     0     0     0     0
##   [42,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [43,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [44,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [45,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [46,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [47,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [48,]    0    1    0    0    0    0    0    0    0     0     0     0     0
##   [49,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [50,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [51,]    0    0    1    0    0    0    0    0    0     0     0     1     0
##   [52,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [53,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [54,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [55,]    1    0    0    0    0    0    0    0    0     0     0     0     0
##   [56,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [57,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [58,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [59,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [60,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [61,]    0    0    0    1    0    0    0    0    0     0     0     0     0
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##   [63,]    0    0    0    0    0    0    0    0    0     0     0     0     0
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##   [86,]    0    1    0    0    0    0    0    0    1     0     0     0     0
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##   [88,]    0    1    0    0    0    0    0    0    1     0     0     0     0
##   [89,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [90,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [91,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [92,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [93,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [94,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [95,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [96,]    0    0    0    0    0    0    0    0    0     0     0     1     0
##   [97,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [98,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [99,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##  [100,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##  [101,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##  [102,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##  [103,]    0    0    0    0    0    0    0    0    0     0     0     0     0
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##  [978,]     0     0     0
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##  [980,]     0     0     0
##  [981,]     0     0     0
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## [1002,]     0     0     1
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## [1004,]     0     0     0
## [1005,]     0     0     0
## [1006,]     0     0     0
## [1007,]     0     0     0
## [1008,]     0     0     0
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## [1010,]     0     0     0
## [1011,]     0     0     0
## [1012,]     0     0     0
## [1013,]     0     0     0
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## [1015,]     0     0     0
## [1016,]     0     0     0
## [1017,]     0     0     0
## [1018,]     0     0     0
## [1019,]     0     0     0
## [1020,]     0     0     0
## [1021,]     0     0     0
## [1022,]     0     0     0
## [1023,]     0     0     0
## [1024,]     0     0     0
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## [1026,]     0     0     0
## [1027,]     0     0     0
## [1028,]     0     0     0
## [1029,]     0     0     0
## [1030,]     0     0     0
## [1031,]     0     0     0
## [1032,]     0     1     0
## [1033,]     0     0     0
## [1034,]     0     0     0
## [1035,]     0     0     0
## [1036,]     0     0     0
## [1037,]     0     0     0
## [1038,]     0     0     0
## [1039,]     0     0     0
## [1040,]     0     0     0
## [1041,]     0     0     0
## [1042,]     0     0     0
## [1043,]     0     0     0
## [1044,]     0     0     0
## [1045,]     0     0     0
## [1046,]     0     0     0
## [1047,]     0     0     0
## [1048,]     0     0     0
## [1049,]     0     0     0
## [1050,]     0     0     0
## [1051,]     0     0     0
## [1052,]     0     0     0
## [1053,]     0     0     0
## [1054,]     0     0     0
## [1055,]     0     0     0
## [1056,]     0     0     0
## [1057,]     0     0     0
## [1058,]     0     0     0
## [1059,]     0     0     0
## [1060,]     0     0     0
## [1061,]     0     0     0
## [1062,]     0     0     0
## [1063,]     0     0     0
## [1064,]     0     0     0
## [1065,]     0     0     0
## [1066,]     0     0     0
## [1067,]     0     0     0
## [1068,]     0     0     0
## [1069,]     0     0     0
## [1070,]     0     0     0
## [1071,]     0     0     0
## [1072,]     0     0     0
## [1073,]     0     0     0
## [1074,]     0     0     0
## [1075,]     0     0     0
## [1076,]     0     0     0
## [1077,]     0     0     0
session[[5]]$contrast_left[11]
## [1] 1
session[[5]]$contrast_right[11]
## [1] 0
session[[5]]$feedback_type[11]
## [1] 1
length(session[[5]]$spks[[1]])
## [1] 43080
table(unlist(session[[5]]$spks[1]))
## 
##     0     1     2     3 
## 41785  1189    97     9
length(session[[5]]$spks)
## [1] 254
#Why is this different
#length(session[[1]]$spks[[1]])
#length(session[[1]]$spks[1])
#if this results in same
#session[[1]]$spks[[1]]
#session[[1]]$spks[1]